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Quantization of theB=1andB=2Skyrmions

2008/02/27 by Jimmy Fortier, Luc Marleau · 1 citation
Engineering · Physics and Astronomy · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Superconducting Materials and Applications #hep-ph

paper · pdf · doi:10.1103/physrevd.77.054017

published as Phys.Rev.D77:054017,2008 · 9 pages, 5 figures, accepted in Phys.Rev.D

arxiv created 2008/02/27 · openalex publication_date 2008/03/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We propose to set the Skyrme parameters F_\ensuremathπ and e such that they reproduce the physical masses of the nucleon and the deuteron. We allow deformation using an axially symmetric solution and simulated annealing to minimize the total energy for the B=1 nucleon and B=2 deuteron. First we find that axial deformations are responsible for a significant reduction (factor of \ensuremath≈4) of the rotational energy but also that it is not possible to get a common set of parameters F_\ensuremathπ and e which would fit both nucleon and deuteron masses simultaneously at least for m_\ensuremathπ=138 MeV, 345 MeV and 500 MeV. This suggests that either m_\ensuremathπ>500 MeV or additional terms must be added to the Skyrme Lagrangian.

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